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Finding the Third Proportional to 182,092 and 371,411

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Solution

The third proportional to 182,092 and 371,411 is: 757,562.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,092 : 371,411 = 371,411 : x
  2. Step 2: Convert to fraction form
    182,092/371,411 = 371,411/x
  3. Step 3: Cross multiply
    182,092x = 371,411 × 371,411
  4. Step 4: Simplify right side
    182,092x = 137,946,130,921
  5. Step 5: Solve for x
    x = 137,946,130,921/182,092
  6. Step 6: Final answer
    x = 757,562.83

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.